论文标题
理性差方程在光谱图理论中的应用:扩展版本
Applications of rational difference equations to spectral graph theory: expanded version
论文作者
论文摘要
我们研究了在矩阵对角线化程序应用中出现的一般复发关系。我们发现一般的封闭公式并确定溶液的分析特性。我们最终将这些发现应用于涉及图特征值的几个问题。
We study a general class of recurrence relations that appear in the application of a matrix diagonalization procedure. We find general closed formula and determine analytical properties of the solutions. We finally apply these findings in several problems involving eigenvalues of graphs.